1
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
Let the sum of the first n terms of a non-constant A.P., a1, a2, a3, ..... be $$50n + {{n(n - 7)} \over 2}A$$, where A is a constant. If d is the common difference of this A.P., then the ordered pair (d, a50) is equal to
A
(A, 50+45A)
B
(50, 50+45A)
C
(A, 50+46A)
D
(50, 50+46A)
2
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
The sum $$\sum\limits_{k = 1}^{20} {k{1 \over {{2^k}}}}$$ is equal to
A
$$2 - {11 \over {{2^{19}}}}$$
B
$$2 - {3 \over {{2^{17}}}}$$
C
$$1 - {11 \over {{2^{20}}}}$$
D
$$2 - {21 \over {{2^{20}}}}$$
3
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
If three distinct numbers a, b, c are in G.P. and the equations ax2 + 2bx + c = 0 and dx2 + 2ex + ƒ = 0 have a common root, then which one of the following statements is correct?
A
$$d \over a$$, $$e \over b$$, $$f \over c$$ are in G.P.
B
d, e, ƒ are in A.P
C
d, e, ƒ are in G.P
D
$$d \over a$$, $$e \over b$$, $$f \over c$$ are in A.P.
4
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
The sum of all natural numbers 'n' such that 100 < n < 200 and H.C.F. (91, n) > 1 is :
A
3221
B
3121
C
3203
D
3303
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